Respuesta :

To find the answer, we need to solve the equation to find x. To do this, we need to move the like terms to one side, and the rest of the terms to the other. But first, we need to distribute the 3 to both pieces of the left hand side of the equation.

3x+15=-4x+8

Subtract -4x from each side (essentially adding 4x to each side to move it over).

3x+4x+15=8

Now, we should move the 15 over by doing the same thing.

3x+4x=8-15

We can combine like terms to further simplify.

7x=7

Finally, to get x by itself, we divide both sides by 7, because that is what is remaining on the left side (that isn't x).

x=1

The equation has one solution: x=1

3(x + 5) = -4x + 8; it has only one solution (x = -1) because it is a linear equation.

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables. There are different types of polynomials such as linear, quadratic, cubic, etc.

A linear equation is of degree one and it has only one solution.

Given the equation:

3(x + 5) = -4x + 8; it has only one solution because it is a linear equation

3(x + 5) = -4x + 8

3x + 15 = -4x + 8

7x = -7

x = -1

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